Search a number
-
+
187431857172 = 223371913048723
BaseRepresentation
bin1010111010001111001…
…1110010110000010100
3122220210110002212201000
42232203303302300110
511032330023412142
6222034403103300
716353510333120
oct2564363626024
9586713085630
10187431857172
11725424404aa
12303aa671b30
13148a0564181
149100c50580
154d1edca14c
hex2ba3cf2c14

187431857172 has 96 divisors (see below), whose sum is σ = 584582835200. Its totient is φ = 50733431136.

The previous prime is 187431857143. The next prime is 187431857177. The reversal of 187431857172 is 271758134781.

187431857172 is a `hidden beast` number, since 18 + 7 + 43 + 18 + 571 + 7 + 2 = 666.

187431857172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1874318571723 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187431857177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6509998 + ... + 6538725.

Almost surely, 2187431857172 is an apocalyptic number.

187431857172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

187431857172 is an abundant number, since it is smaller than the sum of its proper divisors (397150978028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

187431857172 is a wasteful number, since it uses less digits than its factorization.

187431857172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13048762 (or 13048754 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 54.

The spelling of 187431857172 in words is "one hundred eighty-seven billion, four hundred thirty-one million, eight hundred fifty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 13048723 26097446 39146169 52194892 78292338 91341061 117438507 156584676 182682122 234877014 247925737 274023183 352315521 365364244 469754028 495851474 548046366 704631042 743777211 822069549 991702948 1096092732 1409262084 1487554422 1644139098 1735480159 2231331633 2466208647 2975108844 3288278196 3470960318 4462663266 4932417294 5206440477 6693994899 6941920636 8925326532 9864834588 10412880954 13387989798 15619321431 20825761908 26775979596 31238642862 46857964293 62477285724 93715928586 187431857172